Frequency weighted balanced reduction technique: a generalization and an error bound

V. Sreeram; B. D.O. Anderson

Frequency weighted balanced reduction technique: a generalization and an error bound

V. Sreeram^*
, B. D.O. Anderson

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

37 Citations (Scopus)

Abstract

In this paper, a new frequency weighted balanced reduction technique is presented. The method is guaranteed to yield stable reduced order models and is applicable to both discrete and continuous systems. It is a simple generalization of Al-Saggaf and Franklin's technique, [1, 2] but can handle square double-sided weighting matrices, and requires no restriction relating input, state and output dimensions of the weight. A frequency domain interpretation and a frequency response error bound for the proposed technique are also provided.

Original language	English
Pages (from-to)	3576-3581
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	4
Publication status	Published - 1995
Externally published	Yes
Event	Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: 13 Dec 1995 → 15 Dec 1995

Cite this

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title = "Frequency weighted balanced reduction technique: a generalization and an error bound",

abstract = "In this paper, a new frequency weighted balanced reduction technique is presented. The method is guaranteed to yield stable reduced order models and is applicable to both discrete and continuous systems. It is a simple generalization of Al-Saggaf and Franklin's technique, [1, 2] but can handle square double-sided weighting matrices, and requires no restriction relating input, state and output dimensions of the weight. A frequency domain interpretation and a frequency response error bound for the proposed technique are also provided.",

author = "V. Sreeram and Anderson, \{B. D.O.\}",

year = "1995",

language = "English",

volume = "4",

pages = "3576--3581",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) ; Conference date: 13-12-1995 Through 15-12-1995",

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TY - JOUR

T1 - Frequency weighted balanced reduction technique

T2 - Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4)

AU - Sreeram, V.

AU - Anderson, B. D.O.

PY - 1995

Y1 - 1995

N2 - In this paper, a new frequency weighted balanced reduction technique is presented. The method is guaranteed to yield stable reduced order models and is applicable to both discrete and continuous systems. It is a simple generalization of Al-Saggaf and Franklin's technique, [1, 2] but can handle square double-sided weighting matrices, and requires no restriction relating input, state and output dimensions of the weight. A frequency domain interpretation and a frequency response error bound for the proposed technique are also provided.

AB - In this paper, a new frequency weighted balanced reduction technique is presented. The method is guaranteed to yield stable reduced order models and is applicable to both discrete and continuous systems. It is a simple generalization of Al-Saggaf and Franklin's technique, [1, 2] but can handle square double-sided weighting matrices, and requires no restriction relating input, state and output dimensions of the weight. A frequency domain interpretation and a frequency response error bound for the proposed technique are also provided.

UR - https://www.scopus.com/pages/publications/0029517466

M3 - Conference article

AN - SCOPUS:0029517466

SN - 0191-2216

VL - 4

SP - 3576

EP - 3581

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 13 December 1995 through 15 December 1995

ER -

Frequency weighted balanced reduction technique: a generalization and an error bound

Abstract

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